combinatorics, also called combinatorial mathematics, the field of mathematics concerned with problems of selection, arrangement, and operation within a finite or discrete system.

What is combinatorics used for?

Combinatorics is used to study the enumeration of graphs. This can be seen as counting the number of different possible graphs that can be used for a certain application or model. Combinatorics is also used in coding theory, the study of codes and their associated properties and characteristics.

What is combinatorics in coding?

Combinatorics is all about number of ways of choosing some objects out of a collection and/or number of ways of their arrangement. For example suppose there are five members in a club, let's say there names are A, B, C, D, and E, and one of them is to be chosen as the coordinator.